A138184 Largest prime not exceeding Fibonacci(n) = A000045(n).

2, 3, 5, 7, 13, 19, 31, 53, 89, 139, 233, 373, 607, 983, 1597, 2579, 4177, 6763, 10939, 17707, 28657, 46351, 75017, 121379, 196387, 317797, 514229, 832003, 1346249, 2178283, 3524569, 5702867, 9227443, 14930341, 24157811, 39088157, 63245971

Offset

3,1

Links

Harry J. Smith, Table of n, a(n) for n = 3..657

Formula

a(n) = A000040(A054782(n)). - R. J. Mathar, Apr 22 2008

Example

a(8) = 19 because 19 is the largest prime not exceeding 21 = A000045(8).

Maple

A138184 := proc(n) prevprime(combinat[fibonacci](n)+1) ; end: seq(A138184(n), n=3..45) ; # R. J. Mathar, Apr 22 2008

Mathematica

PrimePrev[n_]:=Module[{k=n}, While[ !PrimeQ[k], k-- ]; k]; f[n_]:=Fibonacci[n]; lst={}; Do[AppendTo[lst, PrimePrev[f[n]]], {n, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Feb 26 2010 *)

Crossrefs

Cf. A138181, A138182, A138183, A138185.

Sequence in context: A171969 A075580 A077132 * A236340 A273161 A008965

Adjacent sequences: A138181 A138182 A138183 * A138185 A138186 A138187

Keyword

easy,nonn

Author

Colm Mulcahy, Mar 04 2008

Extensions

Edited and extended by R. J. Mathar, Apr 22 2008

Offset changed from 4 to 3 by Harry J. Smith, Jan 02 2009

Status

approved